Given numbers are 495,749,517,509

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 495,749,517,509 is 8869571865.

Find LCM of 495,749,517,509 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

11 x 45 x 749 x 47 x 509 = 8869571865

Therefore, the lowest common multiple of 495,749,517,509 is 8869571865.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

495 x 749 x 517 x 509 = 97565290515

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

749 : 1, 7, 107, 749

517 : 1, 11, 47, 517

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,749,517,509, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

749:7x 107

517:11x 47

509:509

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 97565290515/(1x11)

LCM = 97565290515/11

LCM = 8869571865

Thus, we can understand that the LCM of 495,749,517,509 is 8869571865.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 834, 143, 960, 142
• LCM of 817, 692, 947, 613
• LCM of 578, 748, 219, 900
• LCM of 319, 844, 580, 298
• LCM of 916, 282, 390, 853

1. What is the LCM of 495, 749, 517, 509?

Answer: LCM of 495, 749, 517, 509 is 8869571865.

2. How to calculate the LCM of 495, 749, 517, 509?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 495, 749, 517, 509.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.